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Characterizing the phase transitions of convex optimizations in recovering structured signals or data is of central importance in compressed sensing, machine learning and statistics. The phase transitions of many convex optimization signal…

信息论 · 计算机科学 2015-09-16 Bingwen Zhang , Weiyu Xu , Jian-Feng Cai , Lifeng Lai

We address the problem of blind gain and phase calibration of a sensor array from ambient noise. The key motivation is to ease the calibration process by avoiding a complex procedure setup. We show that computing the sample covariance…

仪器与探测器 · 物理学 2023-03-22 Charles Vanwynsberghe , Simon Bouley , Jérôme Antoni

This paper concerns the problem of 1-bit compressed sensing, where the goal is to estimate a sparse signal from a few of its binary measurements. We study a non-convex sparsity-constrained program and present a novel and concise analysis…

机器学习 · 计算机科学 2020-07-10 Jie Shen

Compressive sensing is a sensing protocol that facilitates reconstruction of large signals from relatively few measurements by exploiting known structures of signals of interest, typically manifested as signal sparsity. Compressive…

量子物理 · 物理学 2022-08-10 Kyle Sherbert , Naveed Naimipour , Haleh Safavi , Harry Shaw , Mojtaba Soltanalian

In this letter, we consider the problem of recovering an unknown sparse signal from noisy linear measurements, using an enhanced version of the popular Elastic-Net (EN) method. We modify the EN by adding a box-constraint, and we call it the…

机器学习 · 计算机科学 2021-07-06 Ayed M. Alrashdi , Ismail Ben Atitallah , Tareq Y. Al-Naffouri

As demand for advanced photographic applications on hand-held devices grows, these electronics require the capture of high quality depth. However, under low-light conditions, most devices still suffer from low imaging quality and inaccurate…

计算机视觉与模式识别 · 计算机科学 2018-03-22 Sunghoon Im , Hae-Gon Jeon , In So Kweon

Proprioceptive-only state estimation is attractive for legged robots since it is computationally cheaper and is unaffected by perceptually degraded conditions. The history of joint-level measurements contains rich information that can be…

机器人学 · 计算机科学 2026-03-20 Abhijeet M. Kulkarni , Ioannis Poulakakis , Guoquan Huang

Compressed sensing is a theory which guarantees the exact recovery of sparse signals from a small number of linear projections. The sampling schemes suggested by current compressed sensing theories are often of little practical relevance…

信息论 · 计算机科学 2014-07-22 Jérémie Bigot , Claire Boyer , Pierre Weiss

This paper considers the problem of simultaneous sensor fault detection, isolation, and networked estimation of linear full-rank dynamical systems. The proposed networked estimation is a variant of single time-scale protocol and is based on…

系统与控制 · 电气工程与系统科学 2020-09-28 Mohammadreza Doostmohammadian , Nader Meskin

Compressed sensing (CS) involves sampling signals at rates less than their Nyquist rates and attempting to reconstruct them after sample acquisition. Most such algorithms have parameters, for example the regularization parameter in LASSO,…

信息论 · 计算机科学 2021-02-23 Chinmay Gurjarpadhye , Shubhang Bhatnagar , Ajit Rajwade

We introduce a learning-based algorithm to obtain a measurement matrix for compressive sensing related recovery problems. The focus lies on matrices with a constant modulus constraint which typically represent a network of analog phase…

信号处理 · 电气工程与系统科学 2021-10-15 Michael Koller , Wolfgang Utschick

We give a new, very general, formulation of the compressed sensing problem in terms of coordinate projections of an analytic variety, and derive sufficient sampling rates for signal reconstruction. Our bounds are linear in the coherence of…

机器学习 · 计算机科学 2013-11-05 Franz J. Király , Louis Theran

The total variation (TV) method is an image denoising technique that aims to reduce noise by minimizing the total variation of the image, which measures the variation in pixel intensities. The TV method has been widely applied in image…

计算机视觉与模式识别 · 计算机科学 2024-10-04 Jing-En Huang , Jia-Wei Liao , Ku-Te Lin , Yu-Ju Tsai , Mei-Heng Yueh

We consider the problem of recovering a single or multiple frequency-sparse signals, which share the same frequency components, from a subset of regularly spaced samples. The problem is referred to as continuous compressed sensing (CCS) in…

信息论 · 计算机科学 2014-10-24 Zai Yang , Lihua Xie

Minimum mean square error (MMSE) estimation of block sparse signals from noisy linear measurements is considered. Unlike in the standard compressive sensing setup where the non-zero entries of the signal are independently and uniformly…

信息论 · 计算机科学 2012-04-26 Mikko Vehkaperä , Saikat Chatterjee , Mikael Skoglund

The problem of restoring images corrupted by Poisson noise is common in many application fields and, because of its intrinsic ill posedness, it requires regularization techniques for its solution. The effectiveness of such techniques…

数值分析 · 数学 2021-04-30 Daniela di Serafino , Germana Landi , Marco Viola

Due to the increasing demand for low power and higher sampling rates, low resolution quantization for data acquisition has drawn great attention recently. Consequently, line spectral estimation (LSE) with multiple measurement vectors (MMVs)…

信号处理 · 电气工程与系统科学 2022-06-08 Ning Zhang , Jiang Zhu , Zhiwei Xu

This paper studies the problem of recovering a signal vector and the corrupted noise vector from a collection of corrupted linear measurements through the solution of a l1 minimization, where the sensing matrix is a partial Fourier matrix…

信息论 · 计算机科学 2016-01-25 Dongcai Su

Recovery of signals with elements defined on the nodes of a graph, from compressive measurements is an important problem, which can arise in various domains such as sensor networks, image reconstruction and group testing. In some scenarios,…

信号处理 · 电气工程与系统科学 2024-02-19 Sabyasachi Ghosh , Ajit Rajwade

We propose a PDE-constrained optimization approach for the determination of noise distribution in total variation (TV) image denoising. An optimization problem for the determination of the weights correspondent to different types of noise…

最优化与控制 · 数学 2012-07-17 Juan-Carlos De los Reyes , Carola-Bibiane Schönlieb